Estimate of the Interaction Neighborhood Radius for a Markov Random Field

DOI10.1137/S0040585X97T98765XzbMath1341.60121MaRDI QIDQ2811898

Alexander V. Bulinski

Publication date: 8 June 2016

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

metric spaceMarkov random fieldfinite graphGibbs random fieldalmost sure limit behaviorinteraction neighborhood radius

Mathematics Subject Classification ID

Random fields (60G60) Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Cites Work

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• Neighborhood radius estimation for variable-neighborhood random fields
• Consistent estimation of the basic neighborhood of Markov random fields
• Context tree estimation for not necessarily finite memory processes, via BIC and MDL
• Markov Chains
• Introduction to Random Fields